15 rounded to the nearest whole number

Answers

Answer 1

Answer:

15 rounded to the nearest whole number is 15 since it’s already a whole number.-

Step-by-step explanation:

Answer 2
It’s already rounded to a whole number

Related Questions

What is the domain of the function y=3 In x graphed below?​

Answers

Answer:

x>0

Step-by-step explanation:

points exist on the right of the graph so the domain is x>0

Need help urgently please

Answers

L is Y=4
M is Y=-2x+4
N is Y=x-1
P is X= -4

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?

Answers

A mean is an arithmetic average of a set of observations.

The correct option is (A).

What is Mean?

A mean is an arithmetic average of a set of observations.

Mean = (Sum of observations)/Number of observations

As, the median is the middle value.

Thus, the median will not be changed.

As, the mean is the arithmetic average.

So, the $100 gift will increase the mean value of the prizes.

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Answer:

A

Step-by-step explanation:

How many more unit tiles must be added to the
function f(x)=x²-6x+1 in order to complete the square?

A 1

B 6

C 8

D 9

Answers

C) 8


*f(x) = ax^2 + bx + c*
To complete the square, c needs to be (b/2)^2.
So in this case, you take -6, divide it by two. This gives you -3. Then you square -3, which gives you 9.
To have c = 9, we must add 8.

1. What is the sum? 7/2+(-3/5)
4I3
10
21
10
10

Answers

Answer:

29/10

Step-by-step explanation:

7/2+(-3/5)

7/2-3/5

35/10-6/10

29/10

two negative integers have the sum of -12 and the product of 11 what are the integers

Answers

Answer:

-1 and -11

Step-by-step explanation:

"sum" means we're adding.

-1 + -11 = - 12

"product" means we're multiplying.

-1 × -11 = 11

Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y? y=5.5x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5. y=5.5x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5. y=x+5.5; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5. y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.

Answers

Answer:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is the equation for this situation?

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Step-by-step explanation:

This situation of the recipe can be represented as equation y = x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

For the given expression

y = x + 5.5

The possible values are

x = It is expected x is equal to 0 or greater to it

since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Find the equation of the line through point (8,−9) and perpendicular to 3+8=4.

Answers

The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

We are aware that any straight line's equation can be expressed as

y = mx + c,

where m denotes the slope and c denotes a constant.

Also, two perpendicular lines' slopes are the negative reciprocals of one another.

Here, the equation of the given straight line is

3x+8y=4

i.e. 8y = 4 -3x

i.e. y = (4/8) - (3/8)x

Now the negative reciprocal of - 3/8 is 8/3.

Then we can write the equation of the perpendicular line is

y = (8/3)x + c ...(1)

Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.

So, -9 = (8/3)*8 + c

i.e. -9 = 64/3 + c

i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3

(1) can be written as

y = (8/3)x - (91/3)

i.e. 3y = 8x - 91

i.e. 8x - 3y = 91

Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

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what is the vertex of the graph of y = -4x(x + 2)^2 + 5

Answers

Answer:

The vertex is the point of coordinates (-2 , 5)

Step-by-step explanation:

we notice that the equation of the parabola is given in vertex form :

y = -4(x + 2)² + 5

then

y = -4(x − (-2))² + 5

Therefore

The vertex of the graph is the point (-2 , 5)

In the diagram Below

Answers

Answer:

∠UTC = 55°∠UCD = 70°∠BCT = 55°

Step-by-step explanation:

In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.

__

UTC

∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair

∠UTC = 180° -125° = 55°

__

UCD

∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair

∠UCD = 180° -110° = 70°

__

BCT

∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles

Which expression can be used to find the difference of the polynomials? (10m – 6) – (7m – 4) [10m (–7m)] [(–6) 4] (10m 7m) [(–6) (–4)] [(–10m) (–7m)] (6 4) [10m (–7m)] [6 (–4)]

Answers

The expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]

Difference of polynomials

A polynomial is a function that has a leading degree of 3 and above.

Given the expression below

(10m – 6) – (7m – 4)

Expand

10m - 6 - 7m  + 4

Collect the like terms

10m - 7m - 6 + 4

Simplify

3m -2

Hence the expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]

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Help me solve the inequality: 2x- 3<2x+2 <3x +5

Answers

Answer:

[tex]x > - 3[/tex]

I hope this is helpful

prove that x-y = √(x+y)^2-4xy?

Answers

Proved Below

[tex]\Longrightarrow x-y = \sqrt{(x+y)^2-4xy}[/tex]

[tex]\Longrightarrow x-y = \sqrt{x^2+2(x)(y)+ y^2-4xy}[/tex]

[tex]\Longrightarrow x-y = \sqrt{x^2+2xy-4xy+y^2}[/tex]

[tex]\Longrightarrow x-y = \sqrt{x^2-2xy+y^2}[/tex]

[tex]\Longrightarrow x-y = \sqrt{(x-y)^2}[/tex]

[tex]\Longrightarrow x-y =x-y[/tex]

Let's check

x-y=√(x+y)²-4xy

Solve RHS

√(x+y)²-4xy√x²+2xy+y²-4xy√x²+y²-2xy√(x-y)²x-y

Hence proved

Which expression is equivalent to \frac{r^9}{r^3}

Answers

Answer: [tex]\frac{r^9}{r^3} = r^{9-3} = r^6[/tex]

We subtract the exponents when dividing terms with the same base.

The general rule is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

Hii!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

r^6

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

To simplify this we need to use the division property of exponents:

[tex]\large\boxed{\mathtt{\frac{x^m}{x^n} =x^{m-n}}}[/tex]. So if we divide two numbers with the same base, we subtract their exponents.

Let's apply this rule here.

[tex]\twoheadrightarrow\sf r^9\div r^3[/tex].

[tex]\bullet[/tex] Since these two numbers have the same base, we subtract their exponents

[tex]\twoheadrightarrow\sf r^6[/tex]

[tex]\bullet[/tex] Great job! We found the answer

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the solutions of the equation 8x = 2x + 2. (4 points)

Part B: Make tables to find the solution to 8x = 2x + 2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 8x = 2x + 2 graphically? (2 points)

Quickly please! Thank you.

Answers

The point of intersection of two given equations is (0.333, 2.667).

Given that, equation with two variables are y = 8x and y = 2x + 2.

The given equations will intersect at some point where y is the same for both equations.

When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.

So, the solution of 8x = 2x+2 will satisfy both equations.

Now, we need to find the solutions to take the integer values of x between -3 and 3.

That is,

x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2

⇒-12 = -4    False.

similarly, for x = -2

8(-2) = 2(-2)+2

⇒-16 = -2   False

For, x = -1

8(-1) = 2(-1)+2

⇒-8= 0   False

For, x = 0

8(0) = 2(0)+2

⇒0= 2   False

For, x = 1

8(1) = 2(1)+2

⇒8= 4   False

For, x = 2

8(2) = 2(2)+2

⇒16 = 6   False

For, x = 3

8(3) = 2(3)+2

⇒24 = 8   False

Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.

The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.

The point of intersection is the values of the variables which satisfy both equations at a particular point.

Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).

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What is the perimeter of square abcd? startroot 37 endroot units 4 startroot 37 endroot units 28 units 37 units

Answers

Answer:

Step-by-step explanation:

All you have to do is add the four sides together and that should be your answer.

(B.) 4√37 units

Good luck! Please rate if this helped! <3

Solve for X
picture below

Answers

X= -4.
Explanation u make it equivalent to 4^3x=4^4(x+1) then u solve it to 3x=4(x+1) which equals x=-4

Solve -5<4x+3<_<7

Not really sure how to solve, line under greater than sign

Answers

The solution to the complex inequality as in the task content is; -2 < x <= 1.

What is the solution of the inequality?

The inequality in discuss is; -5<4x+3 <= 7.

Hence, solving the inequalities separately; we have;

-5 < 4x +3

-8 < 4x

-2 < x

Also; 4x+3 <= 7

4x <= 4

x <= 1.

Ultimately, the solution to the inequalities is;

-2 < x <= 1.

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Which solid is a Platonic solid?
Please hurry!!!

Answers

Answer:

The five Platonic solids (regular polyhedra) are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. In other words the second one.

sin(90° - x) = sqrt3/2

Answers

This will help if you don’t know how to use ask

The graph of g(x) shown below resembles the graph of f(x) = 2*, but it has
been reflected over the x-axis. Which is the equation of g(x)?
A. g(x)=2x-1
OB. g(x)=2*+1
OC. g(x) = -2*
OD. g(x)=2x-1

Answers

The graph which resembles the graph of f(x)=[tex]2^{x}[/tex] but is reflected over the x-axis is g(x)=[tex]2^{x} +1[/tex]

Given Function f(x)=[tex]2^{x}[/tex].

We have to generate a function whose graph is similiar to the given function and is reflected over the x axis.

If we take first function g(x)=2x-1

put the value of x=-1 then the value of function g(x)=2*(-1)-1=-2-1=-3 means the value of y in this function will be negative means the graph will be under x-axis.

Taking second function g(x)=[tex]2^{x} +1[/tex]

for all the negative values of x it posses a positive value of y so the graph will be over the x axis.

Taking third function g(x)=-[tex]2^{x}[/tex]

In the above function for each value of x the function possess a negative value so the graph will be under x axis.

Taking fourth function g(x)=2x-1

For all values of x less than 1 the function becomes negative which takes graph below the x axis. First graph is for [tex]2^{x}[/tex] and the second is for [tex]2^{x} +1[/tex]

Hence the graph similar to [tex]2^{x}[/tex] and reflected over x axis is g(x)=[tex]2^{x} +1[/tex].

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We only have cows and ducks in our garden and know that the animals in the garden have 20 legs and 14 eyes. How many cows and ducks do we have

Answers

The number of cows and ducks in the garden are 3 and 4 respectively.

Solve the system of linear equations

Let the numbers of cows be x and the number of ducks is y.

Total number of legs=20

Total number of eyes=14

Linear equation for the total number of legs in the garden,

4x+2y=20 -(1)

Linear equation for the total number of eyes in the garden,

2x+2y=14 -(2)

Solve the system of the two linear equations to find the values of x and y.

Subtract equation (1) from equation (2), and we get,

2x=6

[tex]x=\frac{6}{2}\\[/tex]

x=3

Substitute the value of x in equation (1), and we get,

4(3)+2y=20

12+2y=20

2y=20-12

2y=8

[tex]y=\frac{8}{2}\\[/tex]

y=4

Number of cows=3

Number of ducks=4

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It was reported that uninsured drivers caused 1 in 20 accidents. About 682,494 car crashes were reported. About how many of these drivers were uninsured?

Answers

To solve the problem you have to take 682,494 and divide it be 20 because 1 in every 20 accidents are caused by that. So, if you divide that you will see what 1 in every 20 is so the equation would be 682,494 div by 20 which will give you 34,124.

3/2 x 7/2= 2^x

A. X= 1

B. X= 3

C. X= 5

D. X= 8

Answers

The answer is b when you plug it in

what is the gradient if y=-x+3

Answers

Answer:

Slope =  - 1

Step-by-step explanation:

The equation is in form [tex]y=mx+c[/tex], [tex]m[/tex] s the slope and [tex]c[/tex]  is the intercept on [tex]y[/tex] axis.

Hence, in [tex]y=-x+3[/tex] , slope is -1  and intercept on [tex]y[/tex] axis is 3.

Please help! Evaluate the following expression:
4+ (8x √9) ÷ (2+4)
A. 6
B. 28/6
C. 8
D. 15/6

Answers

Answer:

the answer to the question is C) 8

4. Which of the following uses the reciprocal property to rewrite

Answers

We can actually deduce here the one that uses the reciprocal property to rewrite  [tex]\frac{x}{6} = \frac{28}{3\\}[/tex]  is: C. [tex]\frac{6}{x} = \frac{3}{28}[/tex].

What is reciprocal?

A reciprocal of a number is defined as the number that when it is multiplied by the number, the result is 1. Thus, we deduce here that the product of a number and its reciprocal gives one.

Thus: x/6 x 6/x = 1

Also, if 28/3 x 3/28 = 1

Thus, we see that they use the reciprocal property.

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Solve the compound inequality for x and identify the graph of its solution.
x+7> 3 and x-5≤-1
OA. Solution: x<-4 or x ≥ 4
++
-5-4-3 -2 -1 0 1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
--
-5-4-3 -2 -1 0 1 2 3 4
OC. Solution: x>-4 and x≤ 4
+
H
-5 -4 -3 -2 -1 0 1
2
4 5
OD. Solution: x2-4 and x < 4
44
-5-4-3 -2 -1 0 1 2 3 4 5
3
5

Answers

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

Let's solve the compound inequality step by step:

x + 7 > 3

Subtract 7 from both sides to isolate x:

x > 3 - 7

x > -4

and, we have,

x - 5 ≤ -1

Add 5 to both sides to isolate x:

x ≤ -1 + 5

x ≤ 4

Now, we have two inequalities for x:

x > -4

x ≤ 4

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

The graph will include all values greater than -4 (open circle) and all values less than or equal to 4 (closed circle) on the number line.

The correct representation is:

OC. Solution: x > -4 and x ≤ 4

Graph:

-5 -4 -3 -2 -1 0 1 2 3 4 5

+---|---|---|---|---|---|---|---|---|---+

-4 0 4

The open circle at -4 indicates that x is greater than -4, and the closed circle at 4 indicates that x is less than or equal to 4.

The shaded area between -4 and 4 represents the solution to the compound inequality.

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how do you solve this pls

Answers

Step-by-step explanation:

The equation of a exponential function is

[tex]a \times (b) {}^{x} [/tex]

where a is the y value of the y intercept, b is the constant rate of change.

Here the y intercept is (0,4), the y value of the y intercept is 4.

So a=4

The graph passes through point (1,2) so

[tex]h(x) = 4 \times b {}^{x} [/tex]

Plug in 1 for x, 2 for h(x)

[tex]2 = 4 \times {b}^{1} [/tex]

Anything to the first power is itself so

[tex]2 = 4 \times b[/tex]

Isolate b.

[tex] \frac{1}{2} = b[/tex]

So our function is

[tex]4 \times ( \frac{1}{2} ) {}^{x} [/tex]

Answer:

[tex]h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

General form of an exponential function:

[tex]y=ab^x[/tex]

where:

a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form.x is the independent variable.y is the dependent variable.

From inspection of the given diagram, the defined points on the curve are:

(0, 4)(1, 2)

As one of the defined points is the y-intercept (0, 4) then:

[tex]\implies a=4[/tex]

Substitute the found value of a and the point (1, 2) into the general form of an exponential function and solve for b:

[tex]\begin{aligned}h(x)=ab^x & \\\implies h(1)=4b^1 & = 2\\4b & = 2\\b & = \dfrac{2}{4}\\b & =\dfrac{1}{2} \end{aligned}[/tex]

Finally, substitute the found values of a and b into the general formula to complete the equation for the function h(x):

[tex]\implies h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]

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Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2

Answers

Answer:

y=-2/3x-13/3

Step-by-step explanation:

parralel line have the same gradient

y=mx+c is the general straight line equation

m represents the gradient

if the equation is y=-2/3x+3/2

m=-2/3

the coordinates (4,-7)

x=4

y=-7

substitute into equation

-7=-2/3×4+c

-7=-8/3+c

c=-7+8/3

c=-13/3

so the equation is :

y=-2/3x-13/3

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